Let be a group and be a-graded ring with non-zero unity. The goal of our article is
reconsidering some well-known concepts on graded rings using a group homomorphism …

Let be a ring graded by an arbitrary grading abelian group Γ. We say that R is a uniformly
graded-coherent ring if there is a map ϕ: ℕ→ ℕ such that for every n∈ ℕ, and any nonzero …

The paper is focused on questions when some homological and submodule-chain
conditions satisfied by a module M are preserved by the group module MG. Namely, it is …

In this work, we give necessary and sufficient conditions for a group ring (of finite group) to
satisfy the converse of Schur's lemma for group rings of finite groups. Rings considered here …

Let R be a ring with identity and let $\theta $ be a group homomorphism from a group G to
${\operatorname {Aut}}(R) $, the group of automorphisms of R. We prove that skew group …

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and
rings. It is shown that this dimension has nice properties when the ring in question is left GF …

Let S be a prime Noetherian ring and G a finite group acting on 5 such that Gis x-outer on S.
We give sufficient conditions for the skew group ring S* Gto be a prime maximal order. If we …

Isomorphism of the crossed product R# σG and a group-ring R[G] Page 1 Isomorphism of
the crossed product R#σG and a group-ring R[G] ∗ Xu Yonghua Institute of Mathematics …

The aim of this note is to study the class group of a central Ω-Krull ring and to determine in
some cases whether a twisted (semi) group ring is a central Ω-Krull ring. In [8] we defined an …

The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …